Simplicity of algebras associated to non-Hausdorff groupoids

DOI10.1090/tran/7840zbMath1491.16032arXiv1806.04362OpenAlexW2963587585MaRDI QIDQ5227997

Ruy Exel, Lisa Orloff Clark, Aidan Sims, Charles Starling, Enrique Pardo Espino

Publication date: 7 August 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.04362

zbMATH Keywords

groupoid \(C^*\)-algebraSteinberg algebraself-similar graph algebra

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Topological groupoids (including differentiable and Lie groupoids) (22A22) Associative rings and algebras arising under various constructions (16S99)

Related Items (21)

TWISTS, CROSSED PRODUCTS AND INVERSE SEMIGROUP COHOMOLOGY ⋮ Simplicity of algebras via epsilon-strong systems ⋮ Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness ⋮ Strong gradings on Leavitt path algebras, Steinberg algebras and their \(C^*\)-completions ⋮ Algebraic actions. I: \(\mathrm{C}^\ast\)-algebras and groupoids ⋮ On the simplicity of Nekrashevych algebras of contracting self-similar groups ⋮ On Steinberg algebras of Hausdorff ample groupoids over commutative semirings ⋮ An algebraic approach to the Weyl groupoid ⋮ The Groupoid Approach to Leavitt Path Algebras ⋮ Étale Groupoids and Steinberg Algebras a Concise Introduction ⋮ Simplicity of inverse semigroup and étale groupoid algebras ⋮ Noncommutative Cartan \(\mathrm {C}^*\)-subalgebras ⋮ A von Neumann algebraic approach to self-similar group actions ⋮ An algebraic analogue of Exel-Pardo \(C^\ast\)-algebras ⋮ Sectional algebras of semigroupoid bundles ⋮ Simplicity of skew inverse semigroup rings with applications to Steinberg algebras and topological dynamics ⋮ Boundary maps, germs and quasi-regular representations ⋮ Congruence-simplicity of Steinberg algebras of non-Hausdorff ample groupoids over semifields ⋮ The dynamics of partial inverse semigroup actions ⋮ TENSOR PRODUCTS OF STEINBERG ALGEBRAS ⋮ QUOTIENTS OF ÉTALE GROUPOIDS AND THE ABELIANIZATIONS OF GROUPOID C*-ALGEBRAS

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